What is 4x^2-18y^2=36 ?

The solution to 4x^2-18y^2=36 is Hyperbola with (h,k)=(0,0),a=3,b=sqrt(2)

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4x^2-18y^2=36

4 x^{2} - 18 y^{2} = 36

(h, k) = (0, 0), a = 3, b = 2

Solution steps

4 x^{2} - 18 y^{2} = 36

Rewrite

4 x^{2} - 18 y^{2} = 36

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 2

9 x^{2} - 4 y^{2} - 90 x + 32 y - 163 = 0

x^{2} - y^{2} = - 2

- 36 x^{2} + 64 y^{2} + 288 x + 128 y - 2816 = 0

\frac{y ^{2}}{1} - \frac{x ^{2}}{1} = 1

x^{2} = 2 (y^{2} - 0.01)

What is 4x^2-18y^2=36 ?
The solution to 4x^2-18y^2=36 is Hyperbola with (h,k)=(0,0),a=3,b=sqrt(2)